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Finding the Fourth Proportional to 73,207.40, 109,724.70 and 54,717.80

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Solution

The fourth proportional to 73,207.40, 109,724.70 and 54,717.80 is: 82,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,207.40 : 109,724.70 = 54,717.80 : x
  2. Step 2: Convert to fraction form
    73,207.40/109,724.70 = 54,717.80/x
  3. Step 3: Cross multiply
    73,207.40x = 109,724.70 × 54,717.80
  4. Step 4: Simplify right side
    73,207.40x = 6,003,894,189.66
  5. Step 5: Solve for x
    x = 6,003,894,189.66/73,207.40
  6. Step 6: Final answer
    x = 82,012.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.